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Finding the Fourth Proportional to 9,622.50, 14,425.65 and 3,783.30

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Solution

The fourth proportional to 9,622.50, 14,425.65 and 3,783.30 is: 5,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.50 : 14,425.65 = 3,783.30 : x
  2. Step 2: Convert to fraction form
    9,622.50/14,425.65 = 3,783.30/x
  3. Step 3: Cross multiply
    9,622.50x = 14,425.65 × 3,783.30
  4. Step 4: Simplify right side
    9,622.50x = 54,576,561.65
  5. Step 5: Solve for x
    x = 54,576,561.65/9,622.50
  6. Step 6: Final answer
    x = 5,671.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.